Twisted bifurcations and stability of homoclinic loop with higher dimensions

DOI10.1007/BF02439870zbMath1101.34026OpenAlexW2021681126MaRDI QIDQ2369404

Yin Lai Jin, De-Ming Zhu

Publication date: 9 May 2006

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02439870

zbMATH Keywords

stabilityPoincaré map1-periodic orbithomoclinic loop bifurcations2-periodic orbittwisted bifurcation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items

Modeling and analysis of dynamics for a 3D mixed Lorenz system with a damped term, Bifurcations and stability of nondegenerated homoclinic loops for higher dimensional systems

Cites Work

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• Homoclinic bifurcation at resonant eigenvalues
• Homoclinic bifurcation with codimension 3
• Degenerated homoclinic bifurcations with higher dimensions
• Bifurcations of rough heteroclinic loops with three saddle points
• Problems in homoclinic bifurcation with higher dimensions